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Finding the Fourth Proportional to 313.12, 469.76 and 130.56

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Solution

The fourth proportional to 313.12, 469.76 and 130.56 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.12 : 469.76 = 130.56 : x
  2. Step 2: Convert to fraction form
    313.12/469.76 = 130.56/x
  3. Step 3: Cross multiply
    313.12x = 469.76 × 130.56
  4. Step 4: Simplify right side
    313.12x = 61,331.87
  5. Step 5: Solve for x
    x = 61,331.87/313.12
  6. Step 6: Final answer
    x = 195.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.